ON THE CONSISTENCY AND CONVERGENCE ANALYSIS OF A DERIVED EXPLICIT FOURTH-STAGE FOURTH-ORDER RUNGE-KUTTA METHOD

Authors

  • Esekhaigbe Aigbedion Christopher Department of Mathematics, Aduvie Pre-University College, Jahi, Abuja, Nigeria.
  • Daniel Aitusi Department of Statistics, Federal Polytechnic, Auchi, Edo State, Nigeria

DOI:

https://doi.org/10.53555/nnms.v9i8.1226

Keywords:

Consistency, Convergence, Explicit, Runge-Kutta Methods, Linear and non- linear equations, Taylor series, Parameters, Initial-value Problems, Implementation, Curve

Abstract

This paper is aimed at analyzing the consistency and convergence of a derived explicit fourth-stage fourth-order Runge-Kutta method. The analysis revealed that the method is consistent and convergent. The implementation of this method on initial-value problems was done in previous paper, and it revealed that the method compared favorably well with the existing classical fourth stage fourth order explicit Runge Kutta method

References

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Published

2022-08-22

How to Cite

Christopher, E. A. ., & Aitusi, D. . (2022). ON THE CONSISTENCY AND CONVERGENCE ANALYSIS OF A DERIVED EXPLICIT FOURTH-STAGE FOURTH-ORDER RUNGE-KUTTA METHOD. Journal of Advance Research in Mathematics and Statistics (ISSN 2208-2409), 9(8), 8-17. https://doi.org/10.53555/nnms.v9i8.1226

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